The Nature of Mathematics, 12th Edition
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Section 16.1 Homework Hints

    Problems 1-5
    There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have "right" or "wrong" answers. You should spend about five minutes in answering each of these questions. Problems 3-5 ask you to describe each of the three procedures for solving systems of equations.
    Problems 6-13
    Graph the solution to each equation separately. If necessary, you can review the procedure for graphing lines in Section 15.1 Be sure to label your axes and label a scale before graphing the two lines. Then, after the lines are graphed, find the point of intersection (if the lines are not parallel), and list the ordered pairs for that point. See Example 1.
    Problems 14-25
    These problems are using the substitution method. Solve one of the two equations for one of the variables (if necessary). Then substitute into the other equations as shown in Example 2.
    Problems 26-37
    These problems are using the addition method. If necessary, multiply both sides of one (or both) of the equations by a number (or numbers) so that the coefficients on one of the variables are opposites. Then, add the equations to eliminate one of the variables as shown in Example 3.
    Problems 38-55
    See Examples 1-3. You can work these by any method. Generally, substitution is the easiest unless the coefficients of one of the variables are opposites. Graphing is generally not recommended unless using a graphing calculator.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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